7x - 35 < 2(x -5)
Use distributive property on the right side:
7x -35 < 2x - 10
Add 35 to both sides:
7x < 2x + 25
Subtract 2x from both sides
5x < 25
Divide both sides by 5
X < 5
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Solve the inequality 7x-35<2(x-5)
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
First, use the distributive property on the right-hand side:-
7x-35<2x-10
Remember, we need to ensure that variables are on one side of the inequality and numbers are on the other.
Since we have variables on both sides, we need to move all of them to the other side (usually the left-hand side), using the opposite operation.
Therefore
7x-35-2x<-10
Combine like terms:-
5x-35<-10
Now add 35 on both sides:-
5x<-10+35
On simplification,
5x<25
Divide by 5 on both sides:-
x<5
So the values of x less than 5 will satisfy this inequality.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation. Which equation could Kim use to find x, the length of the pole?
Answer: Therefore the length of the pole in 10.1 foot (approx) .
Step-by-step explanation:
To proof
As given
The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation.
x represented the length of pole .
As shown in the diagram
By using the trignometric identity
tan40° = 0.839099631 ( approx )
Put in the above
x = 12 × 0.839099631
x = 10.1 foot (approx)
Therefore the length of the pole in 10.1 foot (approx) .
What is the equation of the line that passes through the point (2,5) and has a slope of 5?
- - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the equation of the line that passes through the point (2, 5) and has a slope of 5?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
First let's write the equation of the line in point-slope form:-
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
Substitute 5 for y₁, 5 for m and 2 for x₁:-
[tex]\sf{y-5=5(x-2)}[/tex]
That's the equation of the line in Point-slope form.
Now let's convert it into slope-intercept:-
[tex]\sf{y-5=5x-10}[/tex]
Adding 5 to both sides results in our slope intercept equation, which looks like this:-
[tex]\dashrightarrow\bigstar\boxed{\boxed{\bold{\underline{y=5x-5}}}}\bigstar\dashleftarrow[/tex]
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
which shape listen below will result from cross section b?
Answer: Ellipse
This cross section is not parallel to the circular base, so we get a stretched out circle of sorts. In other words, we get an ellipse.
There are 50 roses in a tray. There is at least 1 red rose among any 24 randomly selected roses, and there is at least 1 white rose among any 28 randomly selected roses. How many white roses are there in the tray?
Help Pleaseee!!!!
By using the second condition, we conclude that there are 23 white roses in the tray.
How many white roses are in the tray?
First, we know that there are a total of 50 roses in the tray, and we have the conditions:
"There is at least 1 red rose among any 24 randomly selected roses""There is at least 1 white rose among any 28 randomly selected roses".The second statement means that, always that we take 28 roses, at least one of them is white. So, there are 27 roses in the tray that are not white.
Whit that in mind, if the 28th rose must be white, then all the remaining roses in the tray are white, this means that there are:
50 - 27 = 23 white roses.
If you want to learn more about counting.
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Whats is the answer with procedure. n=18, n=9 or n= 3
Answer:
n = 3
Step-by-step explanation:
Isosceles means that the left and right sides (non-parallel sides) are equal to each other and so the base angles are also equal to each other. Then you can make an equation with the 8n^2-11 set equal to the 2n^2+7.
see image.
To solve it you have to set everything equal to zero (get all terms on one side of the equation) FACTOR (you end up with the difference of two squares) and solve, using zero product property. See image.
[tex]12\frac{1}{2}[/tex]% as a simple fraction is:
a)[tex]\frac{12}{100}[/tex]
b)[tex]\frac{1}{8}[/tex]
c)[tex]\frac{3}{25}[/tex]
d) 0.125
e) 12.5
Answer:
E. 12.5
Step-by-step explanation:
[tex](12 \times 2) + 1 = 25 \\ \frac{25}{2} [/tex]
Answer:
B
Step-by-step explanation:
25/2 = 12.5
so, 12.5 /100
= 1/8
Therefore b is the correcrt answer
Please answer the question in the picture below
Thank you!
Answer:
Question 23: 39
Question 24: 10
Question 25: Airline B
Question 26: 20 to 50
Step-by-step explanation:
A fish tank has 240240240 quarts of water. Levi adds another 120120120 quarts to the tank. How many gallons of water are in the fish tank? gallons
The 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.
We have a fish tank has 240 quarts of water.
Levi adds another, 1201 quarts to the tank.
Total water in the tank = 240 + 120 = 360 quartz
To convert quartz to gallon, divide by 4
Total water in the tank = 360/4 = 90 gallons
Thus, the 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.
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A mean weight of 2.2 pounds is computed for a random sample of 50 catfish from a lake....,,
What can you infer from this random sample?
A)You infer that the mean weight of all catfish is close to 2.2 pounds.
B)You infer that the mean weight of all catfish is exactly to 2.2 pounds.
C)You infer that the mean weight of catfish in the lake is close to 2.2 pounds.
D)You infer that the mean weight of catfish in the lake is exactly to 2.2 pounds.
Answer:
You infer that mean weight of catfusf in the lake is close to 2.2lbs
Step-by-step explanation:
Because it's a random sample of 50.
So plenty of catfishes left out of surveySo it lends to variation of mean .But mean remains closer to 2.2Ruth’s credit card has an apr of 10.91%, and it computes finance charges using the previous balance method on a 30-day billing cycle. during the april billing cycle, she made a $45.17 payment on april 10th and a $88.34 purchase on april 17th. her total at the start of may was $847.64. what was her balance at the beginning of april? a. $890.91 b. $797.22 c. $796.87 d. $804.47
Based on the balance at the start of May and the purchases and payments made by Ruth, the balance at the beginning of April was b. $797.22.
What was the beginning balance in April?First find the monthly rate:
= 10.91% / 12
= 0.909%
The beginning balance is x:
May balance = (Beginning balance x (1 + monthy rate) + Purchases - Payments
847.64 = x × 1.00909 + 88.34 - 45.17
1.00909x = 847.64 - 88.34 + 45.17
x = $797.22
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Answer:
B on edge
Step-by-step explanation:
The midpoint of overline AB is M(2, -2) If the coordinates of A are (-2, 1), what are the coordinates of B?
Answer:
(6, -5)
Step-by-step explanation:
Midpoint :
(2, -2) = (x - 2 / 2, y + 1 / 2)Equations formed :
x - 2 / 2 = 2x - 2 = 4x = 62. y + 1 / 2 = -2
y + 1 = -4y = -5Coordinates of B : (x, y)
(6, -5)Which is an equation of a direct proportion?
y= 1/2x – 2
y=3/x
y = -3x +4
y = -3x
Answer:
y = - 3x
Step-by-step explanation:
an equation involving direct proportion has the form
y = kx ← k is the constant of proportion
the only equation in this form is
y = - 3x ( with k = - 3 )
1. Use the data points about the distance and elevations of the camps to graph the data points where the x-coordinate is the total distance traveled from the base camp and the y-coordinate is the elevation. Use the grid below or include a screenshot of the data plotted from a calculator.
Can someone please help/explain! I'm super confused and bad with word problems! The info is shown below!
You should plot the total distance traveled from the base camp on the x-coordinate while the elevation should be plotted on the y-coordinate.
What is a graph?A graph simply refers to a type of chart which is commonly used to graphically represent data on both the vertical and horizontal lines of a cartesian coordinate (x-coordinate and y-coordinate).
How to plot this graph?In this scenario, you would plot the total distance traveled from the base camp on the x-coordinate while the elevation of the camps would be plotted on the y-coordinate as shown in the image attached below.
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(4x−7)^2 +16=40x−70 into a equivalent equation.
The equivalent equation of the algebraic Equation (4x - 7)² + 16 = 40x - 70 is; p² + 16 - 10p = 0
How to simplify Algebraic Equations?
We want to simplify the algebraic Equation;
(4x - 7)² + 16 = 40x - 70
Factorize right hand side to get;
(4x - 7)² + 16 = 10(4x - 7)
If p = 4x - 7, then we have;
p² + 16 = 10p
Using subtraction property of equality gives;
p² + 16 - 10p = 10p - 10p
p² + 16 - 10p = 0
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what is the sum of the least and greatest amount of juice1 4/6 is the least 3 is the greatest show your work
Answer:
Min = 1 4/6
Max = 3
Sum = min + max
=> sum = 1 4/6 + 3
=> sum = 4 /4/6
Answer:
4 4/6
Step-by-step explanation:
I need help! Asap please.
Answer:
3 1/2 square units
Step-by-step explanation:
For this small triangle whose vertices are on grid points, the use of Pick's theorem will give the area with the least work.
__
theoremPick's theorem says that the area is ...
A = i +b/2 -1
where i is the number of grid points inside the boundary, and b is the number of grid points on the boundary.
applicationHere, only the given coordinates are boundary points that are on grid points. (b = 3)
The figure shows us three grid intersections inside the boundary of the triangle. (i = 3)
That means the area is ...
A = 3 +3/2 -1 = 3 1/2 . . . . square units
_____
Alternate solution
The triangle is bounded by a square 3 units on a side. From that, we can subtract a 2×3 triangle at upper left, a 1×2 triangle at upper right, and a 3×1 triangle at the bottom. That leave a figure area of ...
A = 3² -1/2(2×3) -1/2(1×2) -1/2(3×1) = 9 -3 -1 -3/2 = 3 1/2 . . . . square units
(The area of a triangle is 1/2bh, where b and h are the base and height of the triangle.)
__
Another alternate solution can be had by using a formula with the vertex coordinates:
A = 1/2|(x1)(y2 -y3) +(x2)(y3 -y1) +(x3)(y1 -y2)|
= 1/2|(-8)(3 -5) +(-5)(5 -2) +(-6)(2 -3)| = 1/2|16 -15 +6| = 3 1/2 . . . square units
Please I really need help with this question!!!!!
To solve this problem, we must consider all the trigonometric equations:
⇒ (see image below)
Let's examine the diagram:
the side adjacent to ∠A ⇒ AC ⇒ 35 metershypotenuse ⇒ 53 metersThus we can use:
[tex]cos(A)=\frac{35}{53} \\A= cos^{-1}(\frac{35}{53})\\ A = 48.67[/tex]
Answer: 49 degrees (as rounded)
Hope that helps!
(How is the expression (7+ y) ∙9 described by its factors and terms?
A. lt is has two factors and the factor (7+ y) has two terms.
B.It has three factors and the factor (7+ y) has two terms.
C.It has three factors and the factor (7+ y) has one term.
D. It has two factors and the factor (7+ y) has one term.
The expression (7+ y) ∙9 is described by its factors and terms as; lt is has two factors and the factor (7+ y) has two terms.
Factors and terms(7 + y) × 9
63 + 9y
The factors are 7 and y and the two terms are 63 + 9y.
Therefore, the correct answer is; lt is has two factors and the factor (7+ y) has two terms.
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I’ll mark brainly if u answer this
Answer:
C) <AFL
Step-by-step explanation:
The middle angle typically goes in the middle of the three letters. So, the naming should look like <FAL or <LAF. The letter A would have to remain in the middle for the naming to be correct.
Angles can be named in these following ways:
- By three capital letters (vertex (middle point) always in the middle)
In this case it would be <FAL or <LAF.- By one capital letter (typically the vertex)
In this case it would be <A- By a lowercase letter or number that is in the middle of the angle
In this case it would be <5.Therefore, the incorrect naming would be C) <AFL, since the vertex isn't in the middle.
Hope this helps!! If you have questions please let me know in the comments!
I need help! Find the measure of the indicated angle to the nearest degree.
Seeing as this is a right triangle, we would solve for the unknown angle using a trigonometric function.
Remember! SOH-CAH-TOA
Looking from the unknown angle, we are given the adjacent side and the hypotenuse. Therefore, we should use the cosine function.
cos(?) = 17 / 19
---To find the unknown angle measure, you will need to use the inverse cosine function. This function is generally found by using the "2nd" button on your calculator and then pressing the cosine button. It should look like one of the following options: "cos^-1" or "arccos".
Make sure your calculator is in degrees, not radians!
cos^(-1) [17/`9]
26.52
---Round to the nearest degree per the instructions
Answer: 27 degrees
Hope this helps!
y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 1/8
The parabola y=x^2 is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = [tex]-\frac{1}{8}[/tex] x².
What is Equation of parabola?
The general equation of a parabola is: y = a(x-h²2 + k or x = a(y-k)² +h, where (h,k) denotes the vertex.
The standard equation of a regular parabola is y² = 4ax.
The given equation is of parabola : y= x²
Now, we have to reflect across the x- axis and then scaled vertically by a factor 1/8.
When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.
Then, the new equation of parabola be:
y = [tex]-\frac{1}{8}[/tex] x²
Hence, The parabola y=x² is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = [tex]-\frac{1}{8}[/tex] x².
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Cathy places an ad in the neighborhood newsletter advertising her pet-sitting service. Her fees are listed in the table.
What will Cathy charge to pet sit for 8 days?
A. $67.50
B. $60.00
C. $52.50
D. $45.00
Answer:
B) $60.00
Explanation:
The cost for pet sitting per day (1 day) is $7.50
Then for 8 days, Cost = per day price × number of days = $7.50 × 8 = $60
∴ Cathy charge $60 to pet sit for 8 days.
Take two points
(2,15)(4,30)Slope
m=30-15/4-2m=15/2m=7.5Equation
y-15=7.5(x-2)y=7.5x-15+15y=7.5xSo for 8 days
y=7.5(8)$60.00what is the height of a lamp whose two radii are 20 cm and 30 cm and slant height is 40 cm?
Answer:
38.73 cm
Step-by-step explanation:
Given:
R = 30 X = 20 S = 40Solution:
S² = (R - r)^2xh^2
(40)^2=(30-20)^2+h^2
1600=(10)^2+h^2
1600-100=h^2
h=√1500
h=10√15
h=38.73 (rounded to the nearest tenth)
Guys Please Help me Fast!!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
multiply numerator and denominator of [tex]\frac{1}{4}[/tex] by 3
[tex]\frac{1}{4}[/tex] = [tex]\frac{3(1)}{3(4)}[/tex] = [tex]\frac{3}{12}[/tex]
the 2 fractions now have a common denominator of 12 and can be added
[tex]\frac{1}{4}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{3}{12}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]
Write the number in 2 equivalent forms as a fraction, decimal, or percent. 22%
Decimal 0,22
fraction 22/100
Answer: 11/50 and 0,22
Step-by-step explanation:
*FRACTION* 22/100, then simplify 11/50.
*DECIMAL* 0,22 x 100 22
Work out
5 3/4 - 2 1/4
Answer:
3 1/2
Step-by-step explanation:
So because the fraction in attatched to the whole numbers have the same denominator you can literally just subtract the whole numbers and the fractions. (You do them seperatly) (5-2)=3 (3/4-1/4) = 2/4 or 1/2
Complete the sentence.
------- is 4 times as much as 9.
Answer:
36
Step-by-step explanation:
4 x 9 = 36
36 / 4 = 9
Therefore, 36 is 4 times as much as 9.
[tex]{\sf Hello!}[/tex]
The answer is 36
⇢ 4 × 9 = 36
THE DISTRIBUTIVE PROPETY
3(4+3r)
Answer:
12+9r
Step-by-step explanation:
3(4+3r) = 3*4+3*3r = 12+9r
Theo, Nancy, and Mary each drove separately to meet at their grandmother’s house for dinner. Theo drove 50 miles, Nancy drove √2,840 miles, and Mary’s route is shown below.
A right triangle with side lengths 48 miles and 13 miles. The hypotenuse is labeled Mary's Route.
Approximately how many miles did Mary drive to her grandmother’s house?
Order the distances that each family member drove to their grandmother’s house from least to greatest.
Answer:
Mary's route = 49.73 miles
Step-by-step explanation:
[tex] {r}^{2} = {x}^{2} + {y}^{2} [/tex]
[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
[tex]r = \sqrt{ {48}^{2} + {13}^{2} } [/tex]
[tex]r = \sqrt{2473} [/tex]
[tex]r = 49.73 \: miles[/tex]
[tex] \sqrt{2840} = 53.3 \: miles[/tex]
Arranging the distances from least to greatest:#1: Mary's route = 49.73 miles
#2: Theo's route = 50 miles
#3: Nancy's route = 53.3 miles
Answer:
first is 49. 73; second Mary, Theo, Nancy
Step-by-step explanation:
I took the assignment on edge so yeah pleasure to help ^^
part of a line having two end points
Answer:
a line segment
Step-by-step explanation:
Answer:
A line segment is part of a line that has two endpoints and is finite in length. A ray is a line segment that extends indefinitely in one direction.
Step-by-step explanation:
hope this helps